Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 10, 609, 763, 631 i.e. 1 largest integer that divides all the numbers equally.
GCD of 10, 609, 763, 631 is 1
GCD(10, 609, 763, 631) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 10, 609, 763, 631 is 1
GCD(10, 609, 763, 631) = 1
Given Input numbers are 10, 609, 763, 631
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 609
List of positive integer divisors of 609 that divides 609 without a remainder.
1, 3, 7, 21, 29, 87, 203, 609
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Divisors of 631
List of positive integer divisors of 631 that divides 631 without a remainder.
1, 631
Greatest Common Divisior
We found the divisors of 10, 609, 763, 631 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 609, 763, 631 is 1.
Therefore, GCD of numbers 10, 609, 763, 631 is 1
Given Input Data is 10, 609, 763, 631
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 10 is 2 x 5
Prime Factorization of 609 is 3 x 7 x 29
Prime Factorization of 763 is 7 x 109
Prime Factorization of 631 is 631
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 609) = 6090
GCD(10, 609) = ( 10 x 609 ) / 6090
GCD(10, 609) = 6090 / 6090
GCD(10, 609) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 763
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 763) = 763
GCD(1, 763) = ( 1 x 763 ) / 763
GCD(1, 763) = 763 / 763
GCD(1, 763) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 631
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 631) = 631
GCD(1, 631) = ( 1 x 631 ) / 631
GCD(1, 631) = 631 / 631
GCD(1, 631) = 1
GCD of 10, 609, 763, 631 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 10, 609, 763, 631?
GCD of 10, 609, 763, 631 is 1
2. Where do I get the detailed procedure to find GCD of 10, 609, 763, 631?
You can find a detailed procedure to find GCD of 10, 609, 763, 631 on our page.
3. How to find GCD of 10, 609, 763, 631 on a calculator?
You can find the GCD of 10, 609, 763, 631 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.